Homology, Homotopy and Applications
Volume 16 (2014)
Cohomology of algebras over weak Hopf algebras
Pages: 341 – 369
In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra $H$. We show that the second cohomology group classifies completely weak crossed products, having a common preunit, of $H$ with a commutative left $H$-module algebra A.
weak Hopf algebra, Sweedler cohomology, weak crossed product
2010 Mathematics Subject Classification
16S40, 16T05, 18D10, 57T05